GDELT Project allows you to construct a range of networks over people, organizations, locations, themes, and emotions over the global news media April 2013 to present, including daily updates (shortly 15 minute updates), which allows for a variety of analyses around dynamic and temporal networks. Georeferenced networks can also be created, positioning the nodes in geographic space:
A network visualization tool generates Gephi, GraphViz, and .NET files directly:
http://analysis.gdeltproject.org/module-gkg-network.html
and one that generates geographic networks:
http://analysis.gdeltproject.org/module-event-geonet.html
The quarter-billion-record dyadic event dataset is now available inside of Google's BigQuery database system, which would allow you to construct an array of networks based on fairly complex criteria in near-realtime: